Benson Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in terms of quality in that the proportion or percentage of defective components may differ among the suppliers. To evaluate the proportion of defective components for the suppliers, Benson has requested a sample shipment of 500 components from each supplier. The number of defective components and the number of good components found in each shipment are as follows. Supplier Component A B c Defective 15 20 40 Good 485 480 460 (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. O Ho: Not all population proportions are equal. H: PA = PB = Pc Ho: PA = PB = Pc Ha: All population proportions are not equal. O Ho: All population proportions are not equal. HA: PA = PB = Pc O Ho: PA = PB = PC Ha: Not all population proportions are equal. (b) Using a 0.05 level of significance, conduct the hypothesis test. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components. Do not reject Ho. We conclude that the suppliers do not provide equal proportions of defective components. Do not reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components. Reject Ho. We conclude that the suppliers do not provide equal proportions of defective components. (c) Conduct a multiple comparison test to determine if there is an overall best supplier or if one supplier can be eliminated because of poor quality. Use a 0.05 level of significance. (Round your answers for the critical values to four decimal places.) Significant Comparison P-P, CV Diff > CV ij A vs. B ? A vs. C ? B vs. C ? Can any suppliers be eliminated because of poor quality? (Select all that apply.) Supplier A Supplier B Supplier C none Benson Manufacturing is considering ordering electronic components from three different suppliers. The suppliers may differ in terms of quality in that the proportion or percentage of defective components may differ among the suppliers. To evaluate the proportion of defective components for the suppliers, Benson has requested a sample shipment of 500 components from each supplier. The number of defective components and the number of good components found in each shipment are as follows. Supplier Component A B c Defective 15 20 40 Good 485 480 460 (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. O Ho: Not all population proportions are equal. H: PA = PB = Pc Ho: PA = PB = Pc Ha: All population proportions are not equal. O Ho: All population proportions are not equal. HA: PA = PB = Pc O Ho: PA = PB = PC Ha: Not all population proportions are equal. (b) Using a 0.05 level of significance, conduct the hypothesis test. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components. Do not reject Ho. We conclude that the suppliers do not provide equal proportions of defective components. Do not reject Ho. We cannot conclude that the suppliers do not provide equal proportions of defective components. Reject Ho. We conclude that the suppliers do not provide equal proportions of defective components. (c) Conduct a multiple comparison test to determine if there is an overall best supplier or if one supplier can be eliminated because of poor quality. Use a 0.05 level of significance. (Round your answers for the critical values to four decimal places.) Significant Comparison P-P, CV Diff > CV ij A vs. B ? A vs. C ? B vs. C ? Can any suppliers be eliminated because of poor quality? (Select all that apply.) Supplier A Supplier B Supplier C none
